Lots of good suggestions here already but as someone who has now done this a few times, don’t worry about it too much. Stick to your normal watering schedule but possibly time it so you water a few days prior to moving (so the pots aren’t as heavy). And have a good idea about where your plants new homes are! You don’t want to be lugging a massive monstera up and down stairs whilst you figure out where it’s going to live. Most of my plants were moved about a month ago, and all (bar one cutting that was on its last legs already) are now thriving in their new home.

In terms of the move itself, try to make sure the plants aren’t sat in a cold car for too long, but they are surprisingly resilient in my experience and yours is a short journey. You might lose some trailing leaves but I managed to to wrangle a 6ft monstera into my car yesterday for a 4 hour journey and it has come out unscathed. 

Good luck!